λ
Harmonic Matrix

6,343,979

6343979
Deficient Odd Prime

6,343,979 has digital root 5. The neighboring primes are 6343957 and 6343993; its proper-divisor sum differs from the starting integer by -6,343,978.

Prime Factor Structure

Factorization String 6343979
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,343,980
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6343957 ← → #6343993

Radix Representation

Decimal 6343979
Binary 11000001100110100101011 (23 bits)
Octal 0o30146453
Hexadecimal 0x60CD2B

Divisor Catalog (2)

Collatz Trajectory (240 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,343,979 19,031,938 9,515,969 28,547,908 14,273,954 7,136,977 21,410,932 10,705,466 5,352,733 16,058,200 8,029,100 4,014,550 2,007,275 6,021,826 3,010,913 9,032,740 4,516,370 2,258,185 6,774,556 3,387,278 1,693,639 5,080,918 2,540,459 7,621,378 3,810,689 11,432,068 5,716,034 2,858,017 8,574,052 4,287,026 2,143,513 6,430,540 3,215,270 1,607,635 4,822,906 2,411,453 7,234,360 3,617,180 1,808,590 904,295 2,712,886 1,356,443 4,069,330 2,034,665 6,103,996 3,051,998 1,525,999 4,577,998 2,288,999 6,866,998 3,433,499 10,300,498 5,150,249 15,450,748 7,725,374 3,862,687 11,588,062 5,794,031 17,382,094 8,691,047

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